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The approximation by partial sums of Fourier series

✍ Scribed by Salem, R.; Zygmund, A.


Book ID
126257978
Publisher
American Mathematical Society
Year
1946
Tongue
English
Weight
558 KB
Volume
59
Category
Article
ISSN
0002-9947

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In our earlier work we developed an algorithm for approximating the locations of discontinuities and the magnitudes of jumps of a bounded function by means of its truncated Fourier series. The algorithm is based on some asymptotic expansion formulas. In the present paper we give proofs for those for